3 years ago

Eliminationx-9y= -106x-3y=-9

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

3 0

Answer:

x = -1, y = 1

Step-by-step explanation:

To solve by elimination, first multiply x - 9y = -10 by 6 to get the same coefficient on x in each equation. Then subtract each like term.

6x - 54y = -60

6x - 3y = -9

-----------------------

-51y = -51

y = 1

Substitute y= 1 into one equation and solve for x.

x - 9y = -10

x -9(1) = -10

x - 9 = -10

x = -1

You might be interested in

There are 63 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are

sveticcg [70]

Answer:9

Step-by-step explanation:1/7 of 63 =9

4 0

3 years ago

Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*

dalvyx [7]

Answer:

k = -3

k =5

Step-by-step explanation:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\$

$5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\$